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Question

Study the table given below and answer the question

The table gives attendance of employees (number of employees present) on five week days in five officers, namely, A,B,C,D and E:

DaysNumber of employees present in offices
ABCDE
Monday139147211141184
Tuesday141189164189151
Wednesday115141159156136
Thursday89223120147113
Friday18793257160124

 

What is the respective ratio between total number of employees present in office B on Wednesday and Thursday together and total number of employees present in office C on Monday and Friday together?

The correct answer is
7:9

Attendance Data Parsing

To solve this problem, we first need to carefully read and organize the attendance data provided in the table. The data lists the number of employees present in five different offices (A, B, C, D, and E) on five weekdays (Monday through Friday). The numbers are given consecutively for each day and office.

Days Office A Office B Office C Office D Office E
Monday 139 147 211 141 184
Tuesday 141 189 164 189 151
Wednesday 115 141 159 156 136
Thursday 89 223 120 147 113
Friday 187 93 257 160 124

 

Office B Attendance Calculation

The question asks for the total number of employees present in Office B on Wednesday and Thursday combined. We find these values from the parsed table:

  • Number of employees present in Office B on Wednesday = 141
  • Number of employees present in Office B on Thursday = 223

To find the total attendance for Office B over these two days, we add these numbers:

$$ \text{Total Attendance}_B = (\text{Wednesday Attendance}_B) + (\text{Thursday Attendance}_B) $$

$$ \text{Total Attendance}_B = 141 + 223 $$

$$ \text{Total Attendance}_B = 364 $$

Office C Attendance Calculation

Next, we need to calculate the total number of employees present in Office C on Monday and Friday combined. From the table:

  • Number of employees present in Office C on Monday = 211
  • Number of employees present in Office C on Friday = 257

The total attendance for Office C over these two days is:

$$ \text{Total Attendance}_C = (\text{Monday Attendance}_C) + (\text{Friday Attendance}_C) $$

$$ \text{Total Attendance}_C = 211 + 257 $$

$$ \text{Total Attendance}_C = 468 $$

Ratio Determination

The question requires the respective ratio between the total attendance in Office B (Wednesday and Thursday) and the total attendance in Office C (Monday and Friday). This is represented as:

$$ \text{Required Ratio} = \text{Total Attendance}_B : \text{Total Attendance}_C $$

Substituting the calculated totals:

$$ \text{Required Ratio} = 364 : 468 $$

To simplify this ratio, we divide both numbers by their greatest common divisor. We can start by dividing by common factors. Both numbers are even:

$$ \frac{364}{468} = \frac{364 \div 2}{468 \div 2} = \frac{182}{234} $$

We can divide by 2 again:

$$ \frac{182}{234} = \frac{182 \div 2}{234 \div 2} = \frac{91}{117} $$

Now, we find common factors for 91 and 117. We can see that $91 = 7 \times 13$ and $117 = 9 \times 13$. So, 13 is a common factor:

$$ \frac{91}{117} = \frac{91 \div 13}{117 \div 13} = \frac{7}{9} $$

Therefore, the respective ratio is 7:9.

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Important Questions from Data Interpretation

  1. The table given below shows the earnings of two persons on five different days.

    Earnings
    Days PQ
    Monday105150
    Tuesday96110
    Wednesday65122
    Thursday115106
    Friday13068
    What is the ratio of total earnings of P to the total earnings of Q? 
  2. The table below shows the number of toys of 6 different colours sold from a shop during a given period. The table also shows the percentage of toys of each colour which are cars.

    ColourTotal toysPercentage of cars
    C150012
    C260015
    C340012.5
    C455010
    C565020
    C645010

    What is the total number of car toys of C2 and C3 taken together?

  3. Study the given graph carefully and answer the question that follows. The graph shows the demand and production of different companies.

    The ratio between the companies having more production than demand and more demand than production is:

  4. Study the given table and answer the question that follows. The given table shows the number of new employees added to different categories of employees in a company for four years and the number of employees from these categories who left the company every year.

     

    During the period between 2001 and 2004, the total number of Technicians who left the Company is what percentage (rounded off to the nearest integer) of the total number of Technicians who joined the Company?

  5. The given pie-chart shows the percentage distribution of 20,000 employees in a company. Study the given chart and answer the question that follows. If 30% of the employees in department D are females, then how many male employees are there in that department?

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